Stabilization of a semilinear wave equation with variable coefficients and a delay term in the boundary feedback. (English) Zbl 1288.35083
Summary: We study the uniform stabilization of a semilinear wave equation with variable coefficients and a delay term in the boundary feedback. The Riemannian geometry method is applied to prove the exponential stability of the system by introducing an equivalent energy function.
MSC:
35B40 | Asymptotic behavior of solutions to PDEs |
58J45 | Hyperbolic equations on manifolds |
93D15 | Stabilization of systems by feedback |
35L71 | Second-order semilinear hyperbolic equations |